Introduction & Context

A Programmable Logic Controller (PLC) is the industrial computer that continuously monitors field devices and executes user-defined logic every scan cycle. In food & beverage, pharmaceutical, and chemical plants, the interlock studied here prevents product scorching, vessel over-pressure, or loss of agitation by immediately shutting off the steam supply. The calculation is therefore a safety interlock specification rather than a sizing exercise; it defines the Boolean conditions under which the steam valve must de-energise within one deterministic scan.

Methodology & Formulas

  1. Normalise discrete inputs
    The field signals are wired as:
    TTD = 0 → temperature < 98 °C, TTD = 1 → temperature ≥ 98 °C
    X1 = 0 → agitator off, X1 = 1 → agitator on
    PB = 0 → emergency-stop pressed (NC contact), PB = 1 → button released
  2. Convert normally-closed push-button to active-high
    \[ \text{PB}_{\text{active}} = 1 - \text{PB} \]
  3. Form the danger condition
    Danger exists when any of the following is true: \[ \text{DANGER} = \text{TTD} \vee \left(1 - \text{X}_{1}\right) \vee \text{PB}_{\text{active}} \]
  4. Generate the interlock output
    The steam valve is energised only when the danger flag is false: \[ \text{Steam\_Valve} = 1 - \text{DANGER} \]
Design criteria & regimes
Parameter Symbol Condition Regime
Scan cycle \(t_{\text{scan}}\) \(t_{\text{scan}} \le 50\ \text{ms}\) Food-safety reaction limit
Discrete inputs TTD, X1, PB \(\in \{0,\ 1\}\) Valid Boolean domain